use the factored from the polynomial function below to describe it's domain and range. x^2(x-1)(x+3)(x-2)=0

Question

use the factored from the polynomial function below to describe it's domain and range. x^2(x-1)(x+3)(x-2)=0

Answer 1

From here we see that this polynomial of degree n = 5(2 + 1 + 1 + 1 = 5) and leading coefficient a₅ = 1 > 0.

So domain is interval (-∞, ∞) and range also interval (- ∞, ∞) because n = 5 is odd degree.